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45304160832 = 2632775714843
BaseRepresentation
bin101010001100010101…
…101010001001000000
311022221022202211021200
4222030111222021000
51220240331121312
632451253221200
73162452004360
oct521425521100
9138838684250
1045304160832
1118239021637
128944331800
13436cc37a78
14229ac069a0
1512a24c00dc
hexa8c56a240

45304160832 has 168 divisors, whose sum is σ = 148613140416. Its totient is φ = 12926075904.

The previous prime is 45304160807. The next prime is 45304160843. The reversal of 45304160832 is 23806140354.

45304160832 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 41 + 608 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3044803 + ... + 3059645.

Almost surely, 245304160832 is an apocalyptic number.

45304160832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45304160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74306570208).

45304160832 is an abundant number, since it is smaller than the sum of its proper divisors (103308979584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45304160832 is a wasteful number, since it uses less digits than its factorization.

45304160832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15625 (or 15612 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45304160832 in words is "forty-five billion, three hundred four million, one hundred sixty thousand, eight hundred thirty-two".